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Finding the Fourth Proportional to 4,529.50, 6,784.21 and 3,481.78

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Solution

The fourth proportional to 4,529.50, 6,784.21 and 3,481.78 is: 5,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.50 : 6,784.21 = 3,481.78 : x
  2. Step 2: Convert to fraction form
    4,529.50/6,784.21 = 3,481.78/x
  3. Step 3: Cross multiply
    4,529.50x = 6,784.21 × 3,481.78
  4. Step 4: Simplify right side
    4,529.50x = 23,621,126.69
  5. Step 5: Solve for x
    x = 23,621,126.69/4,529.50
  6. Step 6: Final answer
    x = 5,214.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.